Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1491/437, 7781/4982 quickly i.e. 11601471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1491/437, 7781/4982 is 11601471.
LCM(1491/437, 7781/4982) = 11601471
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1491/437,7781/4982
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 1491,7781
Least Common Multiple of Numerators i.e. LCM of 1491,7781 is 11601471.
GCF of Denominators means GCF of 437,4982 as per the given fractions.
GCF of 437,4982 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1491,7781
Given numbers has no common factors except 1. So, there LCM is their product i.e 11601471
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 1491,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1491,7781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1491,7781) x common factors =1 x 1 = 1
LCM(1491,7781) = ( 1491 × 7781 ) / 1
LCM(1491,7781) = 11601471 / 1
LCM(1491,7781) = 11601471
Lets's calculate GCF of 437,4982
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11601471/1
Therefore the LCM of Fractions 1491/437,7781/4982 is 11601471
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 437,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 437,4982 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 1491/437, 7781/4982?
Answer: LCM of Numerators as per given numbers 1491/437, 7781/4982 is
LCM of Numerators i.e. for 1491,7781 is 11601471
GCF of denominators i.e. for 437,4982 is 1.
Thus, LCM of Fractions is 11601471.Finally, LCM of Fractions for 1491/437, 7781/4982 is 11601471.